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13021223031 = 323795696709
BaseRepresentation
bin11000010000010000…
…00001100001110111
31020121110201122222200
430020020001201313
5203131413114111
65552025555543
7640451366235
oct141010014167
936543648880
1013021223031
115582160653
122634945bb3
1312c68c29cb
148b74d1955
15513245256
hex308201877

13021223031 has 24 divisors (see below), whose sum is σ = 18894018000. Its totient is φ = 8641406592.

The previous prime is 13021223029. The next prime is 13021223041. The reversal of 13021223031 is 13032212031.

It is not a de Polignac number, because 13021223031 - 21 = 13021223029 is a prime.

It is a super-3 number, since 3×130212230313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13021222995 and 13021223013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021223041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1937505 + ... + 1944213.

It is an arithmetic number, because the mean of its divisors is an integer number (787250750).

Almost surely, 213021223031 is an apocalyptic number.

13021223031 is a deficient number, since it is larger than the sum of its proper divisors (5872794969).

13021223031 is a wasteful number, since it uses less digits than its factorization.

13021223031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7663 (or 7660 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13021223031 its reverse (13032212031), we get a palindrome (26053435062).

The spelling of 13021223031 in words is "thirteen billion, twenty-one million, two hundred twenty-three thousand, thirty-one".

Divisors: 1 3 9 379 569 1137 1707 3411 5121 6709 20127 60381 215651 646953 1940859 2542711 3817421 7628133 11452263 22884399 34356789 1446802559 4340407677 13021223031